Spectral synthesis in spaces invariant with respect to one parameter composition semigroups

If $\varphi_t$ is a continuously differentiate composition semigroup of analytic endomorphisms of the disc $\mathbb D$, then all closed subspaces of $\mathrm{Hol}(\mathbb D)$ invariant with respect to this semigroup (acting by compositions) admit spectral synthesis. Bibliography: 11 titles.